fisher.alpha: Parameter alpha in the logseries estimator
Description
fisher.alpha estimates the parameter alpha in the logseries estimator by
Fisher, R. A., et al. (1943) based on an initial sample.
Usage
fisher.alpha(n)
Arguments
n
A two-column matrix.
The first column is the frequency \(j = 1,2,\dots\); and the second column
is \(N_j\), the number of species with each species represented exactly \(j\)
times in the initial sample. The first column must be sorted in an
ascending order.
Value
A double, the estimated value of the parameter alpha
References
Fisher, R., Corbet, A., & Williams, C. (1943). The Relation Between the Number
of Species and the Number of Individuals in a Random Sample of an Animal
Population. Journal of Animal Ecology, 12(1), 42-58. doi:10.2307/1411